Question to wheeling guru

[sss]

Hi,
here is a problem:
1. We have a pool of 30 numbers.
2. We have a wheel: 20 lines 6 pick
3. We're interested in knowing of percentage of covering of 5-matches
from the 30-pool.

My understanding is if we know all 5-matches covered by a wheel (and it's not a problem) we can somehow derive the number of ALL 6-Picks from the pool, which include all our 5-picks. And that number would be the coverage we're trying to find.

Straightforward approach with crunching 5s and 6s, comparing, etc. is not a solution due to its unacceptable time consuming. I believe there should be a more smart way.
Does anybody know the answer? The question is easy: if my 6-pick wheel of
20 lines contains 1000 unique 5-picks,
is it possible to find out the number of 6-pick lines from the 30 pool covered by my wheel?

 

[SRM]

Hi,
You can try using Covermaster for this.
An example is as follows.

A 20 line 30 number system:-

2 9 10 13 25 28
4 6 15 17 20 26
3 11 15 19 24 30
3 10 12 14 20 24
8 11 12 15 17 29
8 12 19 21 22 30
16 17 18 19 21 26
5 7 13 15 23 28
4 8 11 20 23 30
1 3 9 20 23 29
3 8 14 26 27 28
2 9 20 24 29 30
3 4 6 7 11 27
9 12 14 21 26 29
1 3 7 23 24 27
9 15 17 18 25 30
2 3 6 16 25 30
3 6 13 19 21 26
4 6 7 8 10 14
4 7 9 11 17 19

The above system gives the following cover:-

T if M Tested Covered % Not Covered %
----------------------------------------------------------------
2 If 2 : 435 229 52.64368 206 47.35632
2 If 3 : 4,060 3,576 88.07882 484 11.92118
2 If 4 : 27,405 26,967 98.40175 438 1.59825
2 If 5 : 142,506 142,346 99.88772 160 0.11228
2 If 6 : 593,775 593,754 99.99646 21 0.00354
2 If 7 : 2,035,800 2,035,799 99.99995 1 0.00005
3 If 3 : 4,060 394 9.70443 3,666 90.29557
3 If 4 : 27,405 8,652 31.57088 18,753 68.42912
3 If 5 : 142,506 83,770 58.78349 58,736 41.21651
3 If 6 : 593,775 481,667 81.11945 112,108 18.88055
3 If 7 : 2,035,800 1,907,707 93.70798 128,093 6.29202
4 If 4 : 27,405 300 1.09469 27,105 98.90531
4 If 5 : 142,506 7,266 5.09873 135,240 94.90127
4 If 6 : 593,775 82,069 13.82157 511,706 86.17843
4 If 7 : 2,035,800 497,938 24.45908 1,537,862 75.54092
5 If 5 : 142,506 120 0.08421 142,386 99.91579
5 If 6 : 593,775 2,900 0.48840 590,875 99.51160
5 If 7 : 2,035,800 33,546 1.64780 2,002,254 98.35220
6 If 7 : 2,035,800 480 0.02358 2,035,320 99.97642

 

[sss]

Hi,
You can try using Covermaster for this.
An example is as follows.

Thank you SRM